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4 years ago

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

1 answer:

4 0

X^2 - 4x - 12 = x^2 + 2x - 6x - 12 = x(x + 2) - 6(x + 2) = (x - 6)(x + 2)
x^2 + 4x - 12 = x^2 - 2x + 6x - 12 = x(x - 2) + 6(x - 2) = (x - 2)(x + 6)
x^2 - x - 12 = x^2 + 3x - 4x - 12 = x(x + 3) - 4(x + 3) = (x - 4)(x + 3)
x^2 - 7x - 12 is prime.

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Initial value problems dy/dx+2y=3. Y(0)=1

Pavel [41]

The initial value equation is $y = \frac 12(3 - e^{-2x})$

<h3>How to solve the initial value?</h3>

The equation is given as:

$\frac{dy}{dx} +2y = 3$

Where

Y(0) = 1

Subtract 2y from both sides in the equation

$\frac{dy}{dx} = -2y + 3$

Rewrite as:

$\frac{dy}{-2y + 3} = dx$

Integrate both sides of the equation

$-\frac 12\ln|-2y + 3| = x + C_o$

Multiply through by -2

$\ln|-2y + 3| = -2x + C_1$

Take the exponent of both sides

$-2y + 3 = Ce^{-2x$

Next, we solve for C under the initial condition Y(0) = 1.

This gives

$-2(1) + 3 = Ce^{-2 * 0$

Evaluate

-2 + 3 = C

Solve for C

C = 1

Substitute C = 1 in $-2y + 3 = Ce^{-2x$

$-2y + 3 = e^{-2x$

Next, we solve for y

$y = \frac 12(3 - e^{-2x})$

Hence, the initial value equation is $y = \frac 12(3 - e^{-2x})$

Read more about initial value at:

brainly.com/question/16945606

#SPJ1

3 0

2 years ago

Joanie watched 1 3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 5 of th

saw5 [17]

Answer:Joanie watched 4/15 of the movie at night

Step-by-step explanation:

Let total amount of movie to watch = 1 whole since we are dealing with fractions

Amount of movie watched in the morning = 1/3

Amount watched at night = x

Amount remaining= 2/5

so that Total amount of movie to watch - Amount watched in morning and night = Amount remaining to watch

1 - ( 1/3 + x ) = 2/5

1- 2/5 = 1/3 + x

3/5 =1/3 + x

3/5 - 1/3 = x

9- 5/15 = x

x= Amount watched at night = 4/15

5 0

3 years ago

Select all the values that are equivalent to the given expression. Express your answer in scientific notation.

Anna35 [415]

Answer:

the first and last ones

Step-by-step explanation:

5 0

3 years ago

What is the surface area

ArbitrLikvidat [17]

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago

68.76 rounded to the nearest whole number

Ahat [919]

68,76 rounded to the nearest whole number will be equal 69

hope this will help you

7 0

3 years ago